9(n-2)-(-9n-6)=17n

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Solution for 9(n-2)-(-9n-6)=17n equation: 


Simplifying
9(n + -2) + -1(-9n + -6) = 17n

Reorder the terms:
9(-2 + n) + -1(-9n + -6) = 17n
(-2 * 9 + n * 9) + -1(-9n + -6) = 17n
(-18 + 9n) + -1(-9n + -6) = 17n

Reorder the terms:
-18 + 9n + -1(-6 + -9n) = 17n
-18 + 9n + (-6 * -1 + -9n * -1) = 17n
-18 + 9n + (6 + 9n) = 17n

Reorder the terms:
-18 + 6 + 9n + 9n = 17n

Combine like terms: -18 + 6 = -12
-12 + 9n + 9n = 17n

Combine like terms: 9n + 9n = 18n
-12 + 18n = 17n

Solving
-12 + 18n = 17n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-17n' to each side of the equation.
-12 + 18n + -17n = 17n + -17n

Combine like terms: 18n + -17n = 1n
-12 + 1n = 17n + -17n

Combine like terms: 17n + -17n = 0
-12 + 1n = 0

Add '12' to each side of the equation.
-12 + 12 + 1n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 1n = 0 + 12
1n = 0 + 12

Combine like terms: 0 + 12 = 12
1n = 12

Divide each side by '1'.
n = 12

Simplifying
n = 12

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